Question

the sum of the reciprocals of rahman's Age 3 years ago and 5 years from now is 1 by √3 find his present age

Answer 1

Answer:

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Step-by-step explanation:

Let Rehman's present age be x yrs.

Therefore his age 3 years ago was (x−3) years.

And his age 5 years from now will be (x+5) years.

Hence applying the above condition, we get

x−3

1

+

x+5

1

=

3

1

⇒

x

2

+2x−15

x+5+x−3

=

3

1

⇒6x+6=x

2

+2x−15

⇒x

2

−4x−21=0

⇒(x−7)(x+3)=0

Now, age cannot be negative.

Hence, x=7

Therefore, the present age is 7 years.